The Hilbert series of the polynomial identities for the tensor square of the Grassmann algebra

DOI10.1007/BF02845082zbMath0793.16013OpenAlexW2078983702MaRDI QIDQ1192100

Luisa Carini, Vesselin Drensky

Publication date: 27 September 1992

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02845082

zbMATH Keywords

Schur functionsHilbert seriesvariety of algebrascharacteristic zerorelatively free algebrastensor squareinfinite dimensional Grassmann algebra

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (2)

Plethysmsfor representations of lie superalgebras with applications to P. I algebras ⋮ Robinson–Schensted–Knuth Correspondence and Weak Polynomial Identities of M_1,1(E)

Cites Work

• Unnamed Item
• Invariants and the ring of generic matrices
• Codimensions of T-ideals and Hilbert series of relatively free algebras
• Explicit codimension formulas of certain T-ideals
• Gesetze in Ringen. I
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring

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